Skip to main content

Combining Description Logic and Defeasible Logic for the Semantic Web

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3323))

Abstract

The importance of integrating rules and ontologies for the Semantic Web has been well addressed by many researchers. Defeasible Logic is a simple but efficient nonmonotonic language which can handle both defeasibility and priority. In this paper we propose a novel approach to combining Defeasible Logic with Description Logics by introducing the Description Defeasible Logic (DDL). DDL is similar to Defeasible Logic but it also contains queries to the Description Logic knowledge base. DDL allows nonmonotonic reasoning to be built on top of ontologies, and to a certain degree, allows ontologies to be built on top of nonmonotonic reasoning. We give some basic properties of DDL, one of which shows that DDL is a tractable language provided that the underlying Description Logic is tractable.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Antoniou, G., Billington, D., Governatori, G., Maher, M.J.: Representation results for defeasible logic. ACM Transactions on Computationl Logic 2(2), 255–287 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  2. Antoniou, G., Wagner, G.: A rule-based approach to the semantic web (preliminary report). In: Schröder, M., Wagner, G. (eds.) RuleML 2003. LNCS, vol. 2876, pp. 111–120. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  3. Baader, F., Calvanese, D., McGuinness, D., Nardi, D., Patel-Schneider, P.: The Description Logic Handbook. Cambridge University Press, Cambridge (2002)

    Google Scholar 

  4. Cadoli, M., Schaerf, M.: A survey on complexity results for non-monotonic logics. Journal of Logic Programming 17 (1993)

    Google Scholar 

  5. Connolly, D., van Harmelen, F., Horrocks, I., McGuinness, D.L., Patel-Schneider, P.F., Stein, L.A.: Daml+oil (March 2001), W3C Note, reference description, http://www.w3.org/tr2001/notedaml+oil-reference-20011218 (December 18, 2001)

  6. Dantsin, E., Eiter, T., Gottlob, G., Voronkov, A.: Complexity and expressive power of logic programming. ACM Computing Survey 33(3), 374–425 (2001)

    Article  Google Scholar 

  7. Dean, M., Connolly, D., van Harmelen, F., Hendler, J., Horrocks, I., McGuinness, D., Patel- Schneider, P., Stein, L.: Owl web ontology language reference, W3C Working Draft, http://www.w3.org/tr2003/wd-owl-ref-20030331 (March 31, 2003)

  8. Donini, F., Lenzerini, M., Nardi, D., Schaerf, A.: AL-log: Integrating datalog and description logics. Journal of Intelligent Information Systems 10(3), 227–252 (1998)

    Article  Google Scholar 

  9. Eiter, T., Lukasiewicz, T., Schindlauer, R., Tompits, H.: Combining answer set programming with description logics for the semantic web. In: Proceedings of the 9th International Conference on Principles of Knowledge Representation and Reasoning, pp. 141–151 (2004)

    Google Scholar 

  10. Governatori, G.: Defeasible description logic. In: Antoniou, G., Boley, H. (eds.) RuleML 2004. LNCS, vol. 3323, pp. 98–112. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  11. Grosof, B., Horrocks, I., Volz, R., Decker, S.: Description logic programs: Combining logic programs with description logics. In: Proceedings of the 12th International World Wide Web Conference, pp. 48–57 (2003)

    Google Scholar 

  12. Heymans, S., Vermeir, D.: Integrating semantic web reasoning and answer set programming. In: Proceedings of ASP 2003, pp. 194–208 (2003)

    Google Scholar 

  13. Levy, A., Rousset, M.: Combining horn logic rules and description logics in carin. Artificial Intelligence 104(1-2), 165–209 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  14. Maher, M.J.: Propositional defeasible logic has linear complexity. Theory and Practice of Logic Programming 1(6), 691–711 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  15. Maher, M.J., Rock, A., Antoniou, G., Billington, D., Miller, T.: Efficient defeasible reasoning systems. In: Proceedings of the IEEE Conference on Tools with Artificial Intelligence, pp. 384–392 (2000)

    Google Scholar 

  16. Nute, D.: Defeasible logic. In: Gabbay, D.M., Hogger, C.J., Robinson, J.A. (eds.) Handbook of Logic in Artificial Intelligence and Logic Programming, vol. 3, pp. 353–395. Oxford University Press, Oxford (1994)

    Google Scholar 

  17. Rosati, R.: Towards expressive KR systems integrating datalog and description logics: Preliminary report. In: Proceedings of DL 1999, pp. 160–164 (1999)

    Google Scholar 

  18. Swift, T.: Deduction in ontologies via ASP. In: Proceeding of LPNMR-7. Springer, Heidelberg (2004)

    Google Scholar 

  19. van Belleghem, K., Denecker, M., de Schreye, D.: A strong correspondence between description logics and open logic programming. In: Proceedings of the International Conference on Logic Programming (ICLP 1997), pp. 346–360 (1997)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2004 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Wang, K., Billington, D., Blee, J., Antoniou, G. (2004). Combining Description Logic and Defeasible Logic for the Semantic Web. In: Antoniou, G., Boley, H. (eds) Rules and Rule Markup Languages for the Semantic Web. RuleML 2004. Lecture Notes in Computer Science, vol 3323. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30504-0_13

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-30504-0_13

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23842-3

  • Online ISBN: 978-3-540-30504-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics